Interaction Effect between Ellipsoidal Inclusions in an Infinite Body under Asymmetric Uniaxial Tension

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This paper deals with an interaction problem of two ellipsoidal inclusions under asymmetric uniaxial tension. The problem is solved on the superposition of two auxiliary loads;(i)biaxial tension and(ii)plane state of pure shear. These problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the densities of the body forces distributed in the γ, θ, z directions are unknown functions. In order to satisfy the boundary conditions along the boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and polynomials. The present method is found to yeild rapidly converging numerical results and smooth stress distributions along the boundaries. For hard inclusions(E_I/E_M>1), the interaction appears as a large compressive stress σ_n;however, the maximum tensile stress is almost independent of the interaction. For soft inclusions(E_I/E_M<1), the interaction appears as a large tensile stress σ_θ.
一般社団法人日本機械学会の論文
1999-07-15